One of the original motivations for the modern revival of the conformal bootstrap (see [1]}, [2]}, [3]}, [4]} for reviews) was the question whether there exists an upper bound on the interaction strength of a relativistic quantum field theory [5]}. An effective field theory version of this question can be framed as follows: given a dimension \(2k{+}4\)  operator, can we show that its corresponding Wilson coefficient \(g\)  is bounded by (naive dimensional analysis of [6]})
\(\frac{g}{(4\pi )^2}\le \frac{\mathcal {O}(1)}{M^{2k}}\,,\) 
